"A Mathematical Model on Two Phase Pulmonary Systolic Blood Flow in Arterioles with Special Reference to Asthma".

Abstract

The main aim of present study is to examine a Non-Newtonian mathematical model of two phased blood flow in human  pulmonary arterioles. Keeping in view the nature of pulmonary circulatory system in human body, the viscosity increases in the arterioles due to formation of roulex along axis by red blood cells, as we know the lungs are remote from heart and proximate to the asthma. P. N. Pandey and V. Upadhyay have considered the blood flow of two phased, one of which is that of red blood cells and other is plasma. They have also applied the Herschel Bulkley Non-Newtonian Model in bio-fluid mechanical set-up and overall presentation is in tensorial form ,   solution technique is analytical as well as numerical .The role of hematocrit is explicit in the determination of blood pressure drop in particular circulation during pulmonary disease asthma. We have collected a clinical data in case of asthma for Hematocrit v/s Blood pressure. The graphical presentation for particular parametric value is much close to the clinical observation.